Foldy-Wouthuysen transformation of the generalized Dirac Hamiltonian in a gravitational-wave background
Foldy-Wouthuysen transformation of the generalized Dirac Hamiltonian in a gravitational-wave background
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引力波背景下广义狄拉克哈密顿量的 Foldy-Wouthuysen 变换
DOI：
10.1103/physrevd.92.084047
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发表时间：
2015
影响因子：
5
通讯作者：
James Q. Quach
中科院分区：
文献类型：
--
作者：
Tosa.;C.;Morikawa T.;Mitrea A.;Hayashi Y.;James Q. Quach
Goncalveset。[物理。在引力波存在下，利用精确的foldy - wouthuysen变换，推导出广义狄拉克哈密顿量的非相对论极限。这就产生了一个有趣的概念，即即使在没有磁场的情况下，自旋进动也可能发生。我们认为这种效应不是物理上的，因为它是测量变量术语的结果，这是精确的Foldy-Wouthuysen变换的错误应用的产物。本文利用精确的和标准的foldy - wouthuysen变换，导出了引力波存在下广义狄拉克哈密顿量的正确的非相对论极限。我们证明了这两种变换一致地产生一个所有项都是规范不变的哈密顿量。然而，不幸的是，我们也表明这意味着新的自旋进动效应不存在。
Goncalveset al.[Phys. Rev. D 75, 124023 (2007)] derived a nonrelativistic limit of the generalized Dirac Hamiltonian in the presence of a gravitational wave, using theexactFoldy-Wouthuysen transformation. This gave rise to the intriguing notion that spin precession may occur even in the absence of a magnetic field. We argue that this effect is not physical as it is the result of a gauge-variant term that was an artifact of a flawed application of the exact Foldy-Wouthuysen transformation. In this paper we derive the correct nonrelativistic limit of the generalized Dirac Hamiltonian in the presence of a gravitational wave, using both the exact andstandardFoldy-Wouthuysen transformation. We show that both transformations consistently produce a Hamiltonian where all terms are gauge invariant. Unfortunately however, we also show that this means the novel spin-precession effect does not exist.